Linganisha mbinu

	Uchambuzi Imara wa Utendaji Tofauti wa Kipengee (Robust DIF)	Nadharia ya Itikio la Kipengee (IRT)
Nyanja	Saikometriki	Saikometriki
Familia	Latent structure	Latent structure
Mwaka wa asili	1990s–2000s	1952–1968
Mwanzilishi	Building on DIF work by Cleary & Hilton (1968) and Mantel-Haenszel by Holland & Thayer (1988); robust extensions developed through 1990s–2000s	Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
Aina	Item bias / fairness analysis	Probabilistic measurement model
Chanzo asilia	Magis, D., Beland, S., Tuerlinckx, F., & De Boeck, P. (2011). A general framework and an R package for the detection of dichotomous differential item functioning. Behavior Research Methods, 43(3), 847–862.	Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley.
Majina mbadala	Robust DIF, outlier-resistant DIF detection, robust item bias analysis, DIF with robust estimation	IRT, latent trait theory, item characteristic curve theory, modern test theory
Zinazohusiana	6	5
Muhtasari	Robust differential item functioning analysis detects items that behave differently across demographic groups after matching respondents on the underlying trait, while protecting the procedure against distortion by outliers, model misfit, or contaminated anchor items. It is applied in educational testing, clinical assessment, and survey research to ensure that a scale measures the same construct equally fairly for all groups.	Item response theory models the probability that a respondent answers an item correctly (or endorses it) as a function of the respondent's latent trait level and the item's own statistical properties — difficulty, discrimination, and guessing. Unlike classical test theory, IRT places persons and items on the same scale, yielding measurement that is sample-independent for items and test-independent for persons.